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Finding the Third Proportional to 373,829 and 810,757

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Solution

The third proportional to 373,829 and 810,757 is: 1,758,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,829 : 810,757 = 810,757 : x
  2. Step 2: Convert to fraction form
    373,829/810,757 = 810,757/x
  3. Step 3: Cross multiply
    373,829x = 810,757 × 810,757
  4. Step 4: Simplify right side
    373,829x = 657,326,913,049
  5. Step 5: Solve for x
    x = 657,326,913,049/373,829
  6. Step 6: Final answer
    x = 1,758,362.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.